Prigogine-Defay ratio: Difference between revisions

Revision as of 14:53, 2 October 2008

The Prigogine-Defay ratio is given by (Ref. 2 Eq. 1):

\Pi ={\frac {1}{VT}}\left.{\frac {\Delta C_{p}\Delta k}{(\Delta \alpha )^{2}}}\right|_{T=T_{g}}

where $V$ is the volume, $T$ is the temperature, $T_{g}$ is the temperature of the glass transition, $C_{p}$ is the isobaric heat capacity, $k$ is the compressibility and $\alpha$ is the thermal expansion coefficient.

@@ Line 1: / Line 1: @@
 {{stub-general}}
+The '''Prigogine-Defay ratio''' is given by (Ref. 2 Eq. 1):
+:<math>\Pi = \frac{1}{VT} \left. \frac{\Delta C_p \Delta k}{ (\Delta \alpha)^2} \right|_{T=T_g}</math>
+where <math>V</math> is the volume, <math>T</math> is the [[temperature]], <math>T_g</math> is the temperature of the [[glass transition]], <math>C_p</math> is the [[heat capacity  | isobaric heat capacity]], <math>k</math> is the [[compressibility]] and <math>\alpha</math> is the [[thermal expansion coefficient]].
 ==References==
 #I. Prigogine and R. Defay "Chemical Thermodynamics" Longman (1954) (out of print)
+#[http://dx.doi.org/10.1063/1.2374894 Jürn W. P. Schmelzer and Ivan Gutzow "The Prigogine-Defay ratio revisited", Journal of Chemical Physics '''125''' 184511 (2006)]
 #[http://dx.doi.org/10.1063/1.2969899 R. M. Pick "The Prigogine–Defay ratio and the microscopic theory of supercooled liquids", Journal of Chemical Physics '''129''' 124115 (2008)]
 [[Category: Complex systems]]